Spectral Analysis of an Operator Arising in Fluid Dynamics

被引：5

作者：

Chugunova, Marina ^{[1
]}

Volkmer, Hans

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada

来源：

STUDIES IN APPLIED MATHEMATICS | 2009年 / 123卷 / 03期

关键词：

D O I：

10.1111/j.1467-9590.2009.00455.x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Eigenmode solutions are very important in stability analysis of dynamical systems. The set of eigenvalues of a non-self-adjoint differential operator originated from the linearization of some Cauchy problem is investigated. It is shown that the eigenvalues are purely imaginary, and that they are related to the eigenvalues of Heun's differential equation. These two results are used to derive the asymptotic behavior of the eigenvalues and to compute them numerically.

引用

页码：291 / 309

页数：19

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